Pith Number

pith:WKGEMQOU

pith:2011:WKGEMQOUBTMCVVLAM7JPGDRJGY

not attested not anchored not stored refs pending

Sharp ill-posedness results for the KdV and mKdV equations on the torus

Luc Molinet (LMPT)

arxiv:1105.3601 v3 · 2011-05-18 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKGEMQOUBTMCVVLAM7JPGDRJGY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:17:13.326674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28c4641d40cd82ad56067d2f30e293625f2dde5c760a0a47b1699910471413c

Aliases

arxiv: 1105.3601 · arxiv_version: 1105.3601v3 · doi: 10.48550/arxiv.1105.3601 · pith_short_12: WKGEMQOUBTMC · pith_short_16: WKGEMQOUBTMCVVLA · pith_short_8: WKGEMQOU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WKGEMQOUBTMCVVLAM7JPGDRJGY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b28c4641d40cd82ad56067d2f30e293625f2dde5c760a0a47b1699910471413c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e3bb72b6ff43632a5c2a217fb8693408035a21f1c7c6045b1a0786df57bf1a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-18T12:23:47Z",
    "title_canon_sha256": "e042d390c537d23850acfa7f456b886e49ea9f81767a0da51aaef59b2f600dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3601",
    "kind": "arxiv",
    "version": 3
  }
}